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The object of this exercise is to face the arrowhead in the opposite direction with minimum moves.
Member rating: No Rating | Words: | Submitted: Fri Aug 15 2003
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MOVING ARROW HEAD The object of this exercise is to face the arrowhead in the opposite direction with minimum moves. Diagram 1 By observation we see the arrowhead is in the shape of equilateral triangle. It's counters are round and arranged in such a way that, by increasing the base layer by one counter, so that the new base layer contains one more (b+1) with respect to previous one. Each time the base is increased, the arrowhead maintains it's equilateral shape. In any triangle we can find the minimum moves needed to face the triangle in the opposite direction. We will see a pattern generating when we move the counters so that the arrow head faces in the opposite direction. We will investigate the structure in which these patterns are generated. We will then try to formulate a mathematical equation, which links the pattern and structure. Diagram 2 1st move 2nd move 3rd move ...
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